w(1+infinity) and the Celestial Sphere

Abstract

It is shown that the infinite tower of tree-level soft graviton symmetries in asymptotically flat 4D quantum gravity can be organized into a single chiral 2D Kac-Moody symmetry based on the wedge algebra of w(1+infinity). The infinite towers of soft photon or gluon symmetries also transform irreducibly under w(1+infinity).

7 pages, revised version to appear in PRL

References in corpus (2)

• Holographic Symmetry Algebras for Gauge Theory and Gravity
• Celestial Diamonds: Conformal Multiplets in Celestial CFT

Cited by in corpus (11)

• Lectures on Celestial Amplitudes
• Lectures on Celestial Holography
• Ambidextrous light transforms for celestial amplitudes
• Celestial Dual Superconformal Symmetry, MHV Amplitudes and Differential Equations
• Celestial Holography: Lectures on Asymptotic Symmetries
• Conformally Soft Fermions
• (Chiral) Virasoro invariance of the tree-level MHV graviton scattering amplitudes
• Supersymmetric celestial OPEs and soft algebras from the ambitwistor string worldsheet
• Colored black holes and Kac-Moody algebra
• Celestial OPE blocks
• Charge algebra for non-abelian large gauge symmetries at $O(r)$